Research & Science Group Ltd.Communications in Nonlinear Analysis2371-79202220160601Coupled Fixed Point Theorem in Dislocated Quasi b-Metric Spaces11311889537ENMujeeb Ur RahmanDepartment of Mathematics, Government PG Jahanzeb College Saidu Sharief Swat, Khyber PakhtunKhwa, Pakistan.Muhammad SarwarDepartment of Mathematics, University of Malakand, Dir(L), Khyber PakhtunKhwa, Pakistan.Journal Article20190624In this paper, we dene the notion of a coupled coincidence fixed point and prove a coupled coincidence fixed<br />point theorem in dislocated quasi b-metric space. In order to validate our main result and its corollaries an<br />example is givenhttps://www.cna-journal.com/article_89537_4cb7cf13e83b92dd2e41f37135b98171.pdfResearch & Science Group Ltd.Communications in Nonlinear Analysis2371-79202220160601Tripled Periodic Boundary Value Problems of Nonlinear Second Order Differential Equations11912889730ENAnimesh GuptaDepartment of Mathematics & Computer Science, R.D.V.V. Jabalpur (M.P.) India.Saurabh ManroSchool of Mathematics and Computer Applications, Thapar University, Patiala, Punjab, India.Journal Article20190627The present paper proposes a new monotone iteration principle for the existence as well as approximations<br />of the tripled solutions for a tripled periodic boundary value problem of second order ordinary nonlinear<br />differential equations. An algorithm for the tripled solutions is developed and it is shown that the sequences<br />of successive approximations defined in a certain way converge monotonically to the tripled solutions of the<br />related differential equations under some suitable hybrid conditions. A numerical example is also indicated<br />to illustrate the abstract theory developed in the paper.https://www.cna-journal.com/article_89730_080227e466248d4899325814decf3b17.pdfResearch & Science Group Ltd.Communications in Nonlinear Analysis2371-79202220160601A mollified solution of a nonlinear inverse heat conduction problem12913889731ENSoheila BodaghiFaculty of Mathematics, K. N. Toosi University of Technology, Tehran, IranAli ZakeriFaculty of Mathematics, K. N. Toosi University of Technology, Tehran, IranJournal Article20190627In this paper a nonlinear inverse heat conduction problem in one dimensional space is considered. This<br />inverse problem reformulate as an auxiliary inverse problem. Ill-posedness is identified as one of the main<br />characteristics of the inverse problems. So, a numerical algorithm based on the combination of discrete<br />mollification and space marching method is applied to conquer ill-posedness of the auxiliary inverse problem.<br />Moreover, a proof of stability and convergence of the aforementioned algorithm is provided. Eventually, the<br />efficiency of this method is illustrated by a numerical example.https://www.cna-journal.com/article_89731_d377a884e9a7a0486e7f7cc8711604e7.pdfResearch & Science Group Ltd.Communications in Nonlinear Analysis2371-79202220160601Fixed points of a Θ-contraction on metric spaces with a graph13914989733ENWudthichai OnsodKMUTT Fixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science
Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT),Thrung Khru, Bangkok 10140, ThailandTeerapol SaleewongKMUTTFixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science
Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Thrung Khru, Bangkok 10140, ThailandJamshaid AhmadDepartment of Mathematics, University of Jeddah, P.O.Box 80327, Jeddah 21589, Saudi ArabiaAbdullah Eqal Al-MazrooeiDepartment of Mathematics, University of Jeddah, P.O.Box 80327, Jeddah 21589, Saudi ArabiaJournal Article20190627The aim of this paper is to introduce a new type of contraction called Θ-G-contraction on a metric<br />space endowed with a graph and establish some new fixed point theorems. Some examples are presented<br />to support the results proved herein. Our results unify, generalize and extend various results related with<br />G-contraction for a directed graph Ghttps://www.cna-journal.com/article_89733_edda754a62f4a5025b69e9773da433ec.pdf